which term in the arithmetic sequence 11, 4,-3 . . . is -129?​

The value of the expression \(4\frac{1}{10}\times-4\times\frac{5}{12}\) is \(-6\frac{5}{6}\).

A mathematical statement expressed as a string of numbers and unknowable variables is known as a numerical expression. Statements can be used to create numerical expressions.

The given, expression is \(4\frac{1}{10}\times-4\times\frac{5}{12}\).

= (41/10) × (- 4) × (5/12).

= (41×-4×5)/(10×12).

= (-820/120).

= - 82/12.

= - 41/6.

= \(-6\frac{5}{6}\).

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Answer:

Remainder = –24

Step-by-step explanation:

x³ + x² – 20 divide by x + 2

We can obtain the remainder when

x³ + x² – 20 is divided by x + 2 using the remainder theorem as follow:

We'll begin by calculating the value of x from x + 2. This is illustrated below:

x + 2 = 0

Collect like terms

x = 0 – 2

x = –2

Finally, we shall determine the remainder by substituting –2 for x in

x³ + x² – 20. This is illustrated below:

x³ + x² – 20

x = –2

Remainder = (–2)³ + (–2)² – 20

Remainder = –8 + 4 – 20

Remainder = –24

Therefore, the ramainder when

x³ + x² – 20 is divided by x + 2 is –24

Answer:

no they are parallel because the slope is the same they just are at different y- intercepts

Answer:

Y=3 is a horizontal line. So, a line perpendicular to y=3 must be vertical. The only vertical line among the choices is x=-3, so C must be the answer.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Givens

Formula

V = pi * r^2 * h                                         Substitute givens into formula

Solution

198 cm^3 = 3.14 * 8.8 * r^2                     Combine the right

198 = 27.632 * r^2                                  Divide both sides by 27.632

198 / 27.632 = 27.632 * r^2 / 27.632

7.1656 = r^2                                            Switch the equation

r^2 =  7.1656                                           Take the square root of both sides

√r^2 =  √7.1656  

r = 2.6768

Answer

r = 2.7 rounded to the nearest tenth

Two variables that move in opposite directions are said to be inversely related.

A negative correlation is a relationship between two variables that move in opposite directions. In other words, when variable A increases, variable B decreases. A negative correlation is also known as an inverse correlation.

The concept of negative correlation is important for investors or analysts who are considering adding new investments to their portfolio. When market uncertainty is high, a common consideration is re-balancing portfolios by replacing some securities that have a positive correlation with those that have a negative correlation.

Here are some common examples of a negatively correlated relationship between assets:

1. Oil prices and airline stocks

2. Gold prices and stock markets (most of the time, but not always)

3. Any type of insurance payoff

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The rectangle's dimensions are 9 yards in width and 14 yards in length.

Let's assume the width of the rectangle is "x" yards. According to the given information, the length of the rectangle is more than twice the width. Thus, the length can be expressed as 2x + y, where y represents the additional length.

The area of a rectangle is calculated by multiplying its length and width. In this case, we have the equation: (2x + y) * x = 63 yd².

Expanding the equation, we get: 2x² + xy = 63.

Since we know the area is 63 yd², we can find two factors that multiply to give 63 and solve for x. The factors of 63 are 1 and 63, 3 and 21, and 7 and 9. Since the length is more than twice the width, the factor pair that satisfies this condition is 7 and 9.

Therefore, x = 7 and 2x + y = 9. Solving for y, we find that y = 2.

Thus, the dimensions of the rectangle are 7 yards in width and 9 yards in length.

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Answer:

12.9 cm

Step-by-step explanation:

area of full circle = 2 X 65.8 = 131.6cm².

131.6 = π r² = (3.14r²)

r² = 131.6/3.14 = 41.9108....

r = 6.47.

diameter = 2r = 12.94 = 12.9 cm to nearest tenth

The number 32 can be written as a power with a base of 2 as 2^5

The index form of a number is defined as that number represented as an exponential expression, or even a single number raised to another number.

Example;

2^n

3^3

From the information given, we have to determine the index form of 32

It is expressed in the base of 2 as;

32 = 2 × 2 × 2 × 2 × 2

32 = 2^5

Thus, the number 32 can be written as a power with a base of 2 as 2^5

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Using the binomial distribution, it is found that:

0.3677 = 36.77% probability that more than 1 of these parts are defective.

-----------------

For each part, there are only two possible outcomes. Either they are defective, or they are not. The probability of a part being defective is independent of any other part, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of a success.

At a certain auto parts manufacturer, the Quality Control division has determined that one of the machines produces defective parts 18% of the time.

This means that \(p = 0.18\)

A random sample of 7 parts produced by this machine is chosen.

This means that \(n = 7\)

Find the probability that more than 1 of these parts are defective.

This is:

\(P(X \geq 1) = 1 - P(X < 1)\)

In which

\(P(X < 1) = P(X = 0) + P(X = 1)\)

Thus

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{7,0}.(0.18)^{0}.(0.82)^{7} = 0.2493\)

\(P(X = 1) = C_{7,1}.(0.18)^{1}.(0.82)^{6} = 0.3830\)

Then

\(P(X < 1) = P(X = 0) + P(X = 1) = 0.2493 + 0.3830 = 0.6323\)

\(P(X \geq 1) = 1 - P(X < 1) = 1 - 0.6323 = 0.3677\)

0.3677 = 36.77% probability that more than 1 of these parts are defective.

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The value of the given and completed expression in this problem is

-1

Combined operations are defined as a set of operations applied to the same problem, for example addition, subtraction, multiplication, are frequently used in arithmetic polynomials.

In this case we have an arithmetic polynomial.

We complete the expression as follows:

1 + 2 - 3 + 4 - 5

We group the positive terms on one side and negative terms on the other:

The value of the expression (1 + 2 - 3 + 4 - 5) is -1

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Answer:

10^5 times 8.99

Step-by-step explanation:

Answer:

24cm and 56cm

Step-by-step explanation:

Answer:it is D

Step-by-step explanation:

I just did it on edgeunity and it was correct .

Answer:

The height reached by the ladder is 8 m.

Step-by-step explanation:

A 10 meter long ladder is leaning against the wall. The foot of the ladder is 6 meters from the wall. What height reaches the ladder on the wall?

Length of ladder, L = 10 m

foot of ladder, D = 6 m

Let the height reached is H.

\(L^2 = D^2 + H^2\\\\10^2 = 6^2 + H^2\\\\100 - 36 = H^2\\\\H = 8 m\)

The paperclip is a typical example of something with a mass of about a gram.  The other items are significantly more massive.   I'm in the US so I remember there are 28 grams in an ounce and 454 grams in a pound.  

Answer: paperclip

Answer:

270,000,000,000

Step-by-step explanation:

2.7 E11 is 270,000,000,000 in standard form

Find the slope of the given line

If we put the line 2x - 5y = 35 into the y = mx + c form, the coefficient of x (m) is the slope.

                           since     2x - 5y = 35

                               ⇒              5y = 2x - 35

                                                   y = ²/₅ x - 7

                  ∴      the slope of the line is ²/₅

Identify the slope of the parallel line

When two lines are parallel, they have the same slope.

              ∴ the slope of the parallel is also ²/₅  

Determine the equation of the parallel line

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line where (x₁ , y₁) is (5,−2) :    

                             y - (-2)  =  ²/₅   (x - 5)

                              y + 2 = ²/₅   (x - 5)

If we were to write the equation in the same form as the line that was given:

                                 since  y + 2 = ²/₅   (x - 5)

                                                  y =  ²/₅  x - 2 - 2

                                      y -  ²/₅  x  = - 4      [multiply through by 5]

                                         5y - 2x = -20

To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.

Float rate_of_pay  a declaration for a variable rate_of_pay that can hold values like 11.50 or 12.75.

What is   float rate_of_pay?

Is a fixed or floating rate preferable?

float rate_of_pay

rate_of_pay = 11.50, 12.75;

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The correct expression is 300° - 840°. The expression that finds the measure of an angle that is coterminal with a 300° angle is  300° - 840°. (Option 2 )

The expression that finds the measure of an angle that is coterminal with a 300° angle is 300° - 360°k, where k is an integer.

To find an angle that is coterminal with 300°, we need to subtract a multiple of 360° from 300°. Since we want the angle to be less than 300°, we need to choose a negative value for k.

The only option given that is less than 300° is 300° - 840° = -540°. Therefore, the correct expression is 300° - 840°.

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Complete Question:

Which expression finds the measure of an angle that is coterminal with a 300° angle?

Check the picture below.  Notice, we're skipping the bottom part of it.

\(\begin{array}{llll} front&4\cdot 3&=&12\\ back&4\cdot 3&=&12\\ right&3\cdot 4&=&12\\ left&3\cdot 4&=&12\\ top&3\cdot 3&=&9\\ \cline{1-4} total&&&57 \end{array}\)

Answer: 55 square feet

Step-by-step explanation:

To find area:
Length * Width

11 * 5 = 55

Answer: 55 sq. feet

explanation : 5 x 11 is 55, so 55 square feet

Answer:

The vertex of the graph is (-1,0)

Step-by-step explanation:

A vertex has different definitions

It refers to the point where we have the axis of symmetry

It can also be the point at which the graph changes direction

From the graph we have here, the vertex lie on the horizontal axis

It has an ordered pair value of (-1,0)

Answer:

4464in^3

Step-by-step explanation:

Length of Box = 24 in.

Width = 1/2 x Length = 1/2 x 24 = 12in.

Height = 3.5 + Width = 3.5 + 12 = 15.5 in.

Volume of box = Volume of Cube =

Length x Width x Height =

24x12x15.5 = 4464in^3

Answer:

4 cheeseburgers and 5 fries.

Step-by-step explanation:

Here, the orders given are as follows:

1 cheeseburger,

2 orders of fries,

3 cheeseburgers, and

3 orders of fries

If we observe closely, it can be seen that there are orders of cheeseburgers 2 times and orders of fries also 2 times.

In order to simplify the given list, we must add the similar kind of orders together.

Therefore the given order list can be written as:

1 cheeseburger + 3 cheeseburgers, and

2 orders of fries + 3 orders of fries

OR

In other words:

4 cheeseburger, and 5 orders of fries

Therefore, the simplified order is:

4 cheeseburger, and 5 orders of fries

a) The rate of people leaving the health club, L(t), can be calculated as:

L(11) = 0.013(11)^2 - 0.25(11) + 8

b) To find the number of people, we integrate the net rate of change over the time interval:

Number of People at t=20 = Integral of (E(t) - L(t)) dt, from t=0 to t=20

c) This can be done by finding the critical points of the net rate of change and evaluating them to determine whether they correspond to maximum or minimum values.

To determine whether the number of people in the facility is increasing or decreasing at time t=11, we need to compare the rates of people entering and leaving the health club at that time.

a) At time t=11 hours:

The rate of people entering the health club, E(t), can be calculated as:

E(11) = -0.018(11)^2 + 11

Similarly, the rate of people leaving the health club, L(t), can be calculated as:

L(11) = 0.013(11)^2 - 0.25(11) + 8

By comparing the rates of people entering and leaving, we can determine if the number of people in the facility is increasing or decreasing. If E(t) is greater than L(t), the number of people is increasing; otherwise, it is decreasing.

b) To find the number of people in the health club at time t=20, we need to integrate the net rate of change of people over the time interval 0≤t≤20 hours.

The net rate of change of people can be calculated as:

Net Rate = E(t) - L(t)

To find the number of people, we integrate the net rate of change over the time interval:

Number of People at t=20 = Integral of (E(t) - L(t)) dt, from t=0 to t=20

c) To determine the time t at which the number of people in the health club is a maximum, we need to find the maximum value of the number of people over the interval 0≤t≤20.

This can be done by finding the critical points of the net rate of change and evaluating them to determine whether they correspond to maximum or minimum values.

Let's calculate these values and solve the problem.

Note: Since the calculations involve a series of mathematical steps, it would be best to perform them offline or using appropriate computational tools.

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Answer:

-15,3   2,-11   -3,-7    12,4

Answer:

x=-10

Step-by-step explanation:

2(x+3)=x-4

2x+6=x-4

2x-x=-6-4

x=-10

Please mark me brainliest if it helped

2(x+3)=x-4

2x+6=x-4

-----------------

2x+6=x-4

2x+6=x-4-6

Subtract the numbers

2x=x-10

2x-x=x-10-x

Simplify

Combine like terms

Multiply by 1

Combine like terms

----->>> x= - 10

x equals -10

The probability of getting stuck in traffic on any given day when leaving the city is 70%. When considering two separate days, we can use the multiplication rule of probability to find the probability of getting stuck in traffic on both days.

The multiplication rule of probability states that the probability of two independent events occurring together is the product of their individual probabilities. In this case, the events of getting stuck in traffic on two separate days are independent, meaning that the occurrence of one does not affect the probability of the other.

To find the probability of getting stuck in traffic on both days, we can multiply the probability of getting stuck on the first day (0.7) by the probability of getting stuck on the second day (also 0.7):

P(getting stuck on both days) = P(getting stuck on day 1) x P(getting stuck on day 2)
P(getting stuck on both days) = 0.7 x 0.7
P(getting stuck on both days) = 0.49 or 49%

Therefore, the probability of getting stuck in traffic on both days is 49%. This means that there is a less than 50% chance of getting stuck in traffic on both days, despite the 70% chance of getting stuck on each individual day.

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